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Two cards are drawn together at random from a well-shuffled pack of 52 playing cards. What is the probability that both of them are aces?

Competition practiceData & Probability
  • A1/221
  • B1/169
  • C2/221
  • D1/13

Step-by-Step Solution

Two cards can be chosen in ways and two aces in ways, so the probability is 6/1326 = 1/221. The same value comes from (4/52) × (3/51). Using 4/52 twice, that is , would be correct only if the first card were put back.
Answer: A) 1/221

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